Two adjacent sides of a parallelogram are 24 cm and 18 cm. If the distance between the longer sides is 12 cm, then the distance between the shorter sides is

18 cm

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16 cm

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9 cm

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15 cm

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Solution

The correct option is B 16 cm
Distance between the longer sides is nothing but the altitude with longer side as the base of the parallelogram.

With base as 24, height = 12
With base as 18, height = distance between the shorter sides

Area of parallelogram = Base x Height

$\Rightarrow$ 12 × 24 = 18 × distance between the shorter sides

$∴$ Distance between the shorter sides = 16 cm

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